Least Common Multiple of 492/44, 960/87, 215/395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 492/44, 960/87, 215/395 quickly i.e. 1692480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 492/44, 960/87, 215/395 is 1692480.

LCM(492/44, 960/87, 215/395) = 1692480

LCM of 492/44, 960/87, 215/395

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 492/44,960/87,215/395

Given numbers are 492/44,960/87,215/395

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 492,960,215

Least Common Multiple of Numerators i.e. LCM of 492,960,215 is 1692480.

GCF of Denominators means GCF of 44,87,395 as per the given fractions.

GCF of 44,87,395 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 492,960,215

LCM of Fractions 492/44,960/87,215/395 is 1692480

2 492, 960, 215
2 246, 480, 215
3 123, 240, 215
5 41, 80, 215
41, 16, 43

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 41 x 16 x 43 = 1692480

Least Common Multiple of 492,960,215 with GCF Formula

Least Common Multiple of 492,960,215 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 492,960,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,960,215) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(492,960,215) x common factors =1 x 60 = 60

LCM(492,960,215) = ( 492 × 960 × 215 ) / 60

LCM(492,960,215) = 101548800 / 60

LCM(492,960,215) = 1692480


Lets's calculate GCF of 44,87,395

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1692480/1

Therefore the LCM of Fractions 492/44,960/87,215/395 is 1692480

Greatest Common Factor of 44,87,395 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,87,395 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Greatest Common Factor

We found the factors 44,87,395 . The biggest common factor number is the GCF number.
So the greatest common factor 44,87,395 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 492/44, 960/87, 215/395

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 492/44, 960/87, 215/395?

Answer: LCM of Numerators as per given numbers 492/44, 960/87, 215/395 is

LCM of Numerators i.e. for 492,960,215 is 1692480

GCF of denominators i.e. for 44,87,395 is 1.

Thus, LCM of Fractions is 1692480.Finally, LCM of Fractions for 492/44, 960/87, 215/395 is 1692480.